Answer:
64; 100
Step-by-step explanation:
all the details are provided in the attached picture.
By using properties of similar triangles we got that AD is equal to 64 and DC is equal to 100
What is similar triangles ?
Triangles with same shape are known as similar triangle. size can be different .
Given that BD ⊥ AC
So triangle DAC is similar to triangle DBC
So by the property of similar triangles
[tex]\frac{AB}{BC}=\frac{DB}{DC}\\\\ \frac{4}{5}=\frac{DB}{DC}\ \ \ \\\\\ \frac{4}{5}=\frac{80}{DC}\ \ \ \ \\\\\\DC= \frac{80\times5}{4}\\\\DC=100[/tex]
Similarly
[tex]\frac{DB}{DC}=\frac{AD}{BD}\\\\ \frac{80}{100}=\frac{AD}{80}\ \ \ \ .\\\\\\AD= \frac{80\times80}{100}\\\\AD=64[/tex]
By using properties of similar triangles we got that AD is equal to 64 and DC is equal to 100
To know more about similar triangles visit :https://brainly.com/question/14285697
